# New post in Ring-theory

## Show that $\Bbb R[x]/\langle x^{2}+1\rangle$ is a field.

August 18th, 2022

## Is the set of all 2x2 matrices a ring with zero divisors?

August 15th, 2022

## Structure theorem of Artinian rings

November 7th, 2022

April 9th, 2020

## If R is an integral domain disprove the RxR is an integral domain?

December 19th, 2020

August 1st, 2022

August 1st, 2022

## Prove that R is a field ↔ The only ideals in R are R(0) and (0).

January 23rd, 2020

## Finite integral domain

February 4th, 2020

## Every maximal ideal is a prime ideal

September 7th, 2020

August 1st, 2022

June 5th, 2020

August 1st, 2022

August 1st, 2022

## Definition of residue in context of the polynomial ring of $\mathbb{Z}[x]/(f)$?

February 10th, 2022

August 1st, 2022

August 1st, 2022

August 1st, 2022

August 1st, 2022

July 18th, 2020

August 1st, 2022

August 1st, 2022

August 1st, 2022

August 1st, 2022

## Solve the equation $3x=2$ in the fields $\mathbb Z_7$ and $\mathbb Z_{23}$

October 11th, 2020

August 1st, 2022

August 1st, 2022

August 1st, 2022

## Left ideals of matrix rings are direct sum of column spaces?

November 18th, 2020

## Matrix rings and ideals

November 25th, 2020